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Birkhauser Ginzburg-Landau Vortices (Modern Birkhäuser Classics)

Name: Ginzburg-Landau Vortices (Modern Birkhauser Classics)
Brand: Birkhauser
Price: 54.02 GBP
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Physics

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Description

This book is concerned with the study in two dimensions of stationary solutions of uɛ of a complex valued Ginzburg-Landau equation involving a small parameter ɛ. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter ɛ has a dimension of a length which is usually small. Thus, it is of great interest to study the asymptotics as ɛ tends to zero. One of the main results asserts that the limit u-star of minimizers uɛ exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree – or winding number – of the boundary condition. Each singularity has degree one – or as physicists would say, vortices are quantized. The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis,partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text available to a wider audience.

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 331966672X
Category: Books > Subjects > Science, Nature & Maths > Popular Science > Physics
Domain: Amazon UK
Release Date: 05 October 2017
Listed Since: 18 July 2017

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Birkhauser Ginzburg-Landau Vortices (Modern Birkhäuser Classics)

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